The diagram shows two wires; wire 1 and wire 2. The charge carriers in wire 1 (o

Question

The diagram shows two wires; wire 1 and wire 2. The charge carriers in wire 1 (of circular cross section and radius R) have a drift speed down the wire that is not constant across the wire. Instead, the drift speed rises from zero at the circumference (r=R) to Voat the center (r=0), according to Vd(r)=Vo(1-(r^2/R^2)). The second wire (wire 2) has the same radius, the same density of charge carriers and a constant drift speed give by Vd(r)=f*Vo.

Evaluate the ratio of the current carried by a wire 2 to the current carried by wire 1, when f=0.500.

Explanation / Answer

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